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Finding the Fourth Proportional to 6,178.66, 9,265.94 and 2,017.56

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Solution

The fourth proportional to 6,178.66, 9,265.94 and 2,017.56 is: 3,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.66 : 9,265.94 = 2,017.56 : x
  2. Step 2: Convert to fraction form
    6,178.66/9,265.94 = 2,017.56/x
  3. Step 3: Cross multiply
    6,178.66x = 9,265.94 × 2,017.56
  4. Step 4: Simplify right side
    6,178.66x = 18,694,589.91
  5. Step 5: Solve for x
    x = 18,694,589.91/6,178.66
  6. Step 6: Final answer
    x = 3,025.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.